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Finding the Fourth Proportional to 2,682.86, 3,701.64 and 1,619.78

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Solution

The fourth proportional to 2,682.86, 3,701.64 and 1,619.78 is: 2,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.86 : 3,701.64 = 1,619.78 : x
  2. Step 2: Convert to fraction form
    2,682.86/3,701.64 = 1,619.78/x
  3. Step 3: Cross multiply
    2,682.86x = 3,701.64 × 1,619.78
  4. Step 4: Simplify right side
    2,682.86x = 5,995,823.93
  5. Step 5: Solve for x
    x = 5,995,823.93/2,682.86
  6. Step 6: Final answer
    x = 2,234.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.